Question 18 Find y' implicitly if 5y²2 + In(x + y) = x² 2x² + 2xy 10xy + 10y² + 1 y'= y'= y'= y'= 2x² + xy 10xy+10y²+1 x² + 2xy 10xy +10y² + 1 2x² + 2xy 10xy+10y²-1

Q: Find y' if 8√√xy + 6x = 3y. 4y+ 6√√xy+4x 3√xy O 3√√xy-4y 4x 4x-3√√xy 6√√xy+4y 4y+6√/ay 3.√√xy-4x O…

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Q: X^2y"-xy'+2y=xln^3(x)

A:

Q: y' = (x² + y²)²

A:

Q: Note that 1/4 ≠ 1/2; but (1/4)^(1/4) = (1/2)^(1/2). Use the hint "y = x^x" to prove that there…

A: Please check next step for details.

Q: find the pauticuler soluhion fr + loy = x'_e*sin(8x)

A: Solve particular integral in above differential equations.

Q: 25) y'=} +2y yl

A: We separate the variables first

Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: 3 y=(1+x*) * x4 - x

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Q: If L(x, y, y/) = y² (1+ (y/)²)³ what are Ly and Ly? O Ly = 2y(1+ (y)²)³ and Ly = 6y"y² (1+ (y')²)² O…

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: Find y' if y = In(7x² ? + 3y2). бу 7 + 3y y'

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Q: 2) Show that La- (1 – x²)P',(x)P'm(x) dx : 21(1 + 1) Sim. 21 +1

A:

Q: Find y' if y = (26 +1)18z+6 y' = (18z + 6)(z6 +1)18z+5(6z5) y' = (z6 + 1)18z+6 18(6)z5 26+1 y/ = (26…

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Q: 13. y" + 3y' +2y=6_y(0)=1 _y'(0) = 2

A: y''+3y'+2y=6y0=1y'0=2

Q: +ay'- - 3X = 0

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Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

A:

Q: 7. Find : y = (x* = 5«)a0n 5x, (b). y = x2

A: We can find the derivative as below